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A263755
Triangle read by rows: T(n,k) (n>=1, k>=0) is the number of permutations of n with bounce statistic k.
0
1, 1, 1, 2, 2, 1, 1, 6, 6, 4, 4, 2, 1, 1, 24, 24, 18, 18, 14, 8, 6, 4, 2, 1, 1, 120, 120, 96, 96, 84, 66, 46, 30, 22, 16, 10, 6, 4, 2, 1, 1
OFFSET
1,4
COMMENTS
Row sums give A000142, n >= 1.
LINKS
FindStat - Combinatorial Statistic Finder, The "bounce" of a permutation.
EXAMPLE
Triangle begins:
1,
1,1,
2,2,1,1,
6,6,4,4,2,1,1,
24,24,18,18,14,8,6,4,2,1,1,
120,120,96,96,84,66,46,30,22,16,10,6,4,2,1,1,
...
CROSSREFS
Cf. A000142.
Sequence in context: A124773 A129177 A127452 * A135879 A176224 A174640
KEYWORD
nonn,tabf
AUTHOR
Christian Stump, Oct 19 2015
STATUS
approved